Example

Simplifying −7(8−15y)-7(8 - 15y) Using the Distributive Property

To simplify the expression −7(8−15y)-7(8 - 15y), use the distributive property to multiply the negative factor −7-7 by each term inside the parentheses.

Step 1 — Distribute: Multiply −7-7 by 88 and −7-7 by −15y-15y: (−7)(8)−(−7)(15y)(-7)(8) - (-7)(15y)

Step 2 — Multiply: Compute the products. For the first term, (−7)(8)=−56(-7)(8) = -56. For the second term, (−7)(15y)=−105y(-7)(15y) = -105y. The expression becomes: −56−(−105y)-56 - (-105y)

Step 3 — Simplify: Since subtracting a negative is the same as adding a positive, −(−105y)-(-105y) becomes +105y+105y: −56+105y-56 + 105y

This simplifies the original expression into a final binomial.

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Updated 2026-06-18

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